GCD of 217, 931, 37, 946 Calculator

Given Input numbers are 217, 931, 37, 946

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 217, 931, 37, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 931, 37, 946 is 1.

Therefore, GCD of numbers 217, 931, 37, 946 is 1

Given Input Data is 217, 931, 37, 946

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 217 is 7 x 31

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 37 is 37

Prime Factorization of 946 is 2 x 11 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(217, 931) = 28861

GCD(217, 931) = ( 217 x 931 ) / 28861

GCD(217, 931) = 202027 / 28861

GCD(217, 931) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 37

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 37) = 259

GCD(7, 37) = ( 7 x 37 ) / 259

GCD(7, 37) = 259 / 259

GCD(7, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 217, 931, 37, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 297, 34, 938
• GCD of 999, 938, 98, 697
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• GCD of 855, 747, 61, 378

1. What is the GCD of 217, 931, 37, 946?

GCD of 217, 931, 37, 946 is 1

2. Where do I get the detailed procedure to find GCD of 217, 931, 37, 946?

You can find a detailed procedure to find GCD of 217, 931, 37, 946 on our page.

3. How to find GCD of 217, 931, 37, 946 on a calculator?

You can find the GCD of 217, 931, 37, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.